What is 80.94 percent of 1.1125 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1.1125 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 1.1125 is 100%, so we can write it down as 1.1125=100%.
4. We know, that x is 80.94% of the output value, so we can write it down as x=80.94%.
5. Now we have two simple equations:
1) 1.1125=100%
2) x=80.94%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
1.1125/x=100%/80.94%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 80.94% of 1.1125

1.1125/x=100/80.94
(1.1125/x)*x=(100/80.94)*x       - we multiply both sides of the equation by x
1.1125=1.2354830738819*x       - we divide both sides of the equation by (1.2354830738819) to get x
1.1125/1.2354830738819=x
0.9004575=x
x=0.9004575

now we have:
80.94% of 1.1125=0.9004575